Dynamical patterns in stochastic ρ4 equation: An analysis of quasi-periodic, bifurcation, chaotic behavior
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10255722" target="_blank" >RIV/61989100:27740/25:10255722 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/epdf/10.1142/S0219887824503201" target="_blank" >https://www.worldscientific.com/doi/epdf/10.1142/S0219887824503201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887824503201" target="_blank" >10.1142/S0219887824503201</a>
Alternative languages
Result language
angličtina
Original language name
Dynamical patterns in stochastic ρ4 equation: An analysis of quasi-periodic, bifurcation, chaotic behavior
Original language description
The stochastic dynamical rho 4 equation is utilized as a robust framework for modeling the behavior of complex systems characterized by randomness and nonlinearity, with applications spanning various scientific fields. The aim of this paper is to employ an analytical method to identify stochastic traveling wave solutions of the dynamical rho 4 equation. Novel hyperbolic and rational functions are investigated through this method. A Galilean transformation is applied to reformulate the model into a planar dynamical system, which enables a comprehensive qualitative analysis. Additionally, the emergence of chaotic and quasi-periodic patterns following the introduction of a perturbation term is addressed. Simulation results indicate that significant changes in the systems' dynamic behavior are caused by adjusting the amplitude and frequency parameters. Our findings indicate the impact of the method on system dynamics and its efficacy in analyzing solitons and phase behavior in nonlinear models. These discoveries provide fresh perspectives on how the suggested method can lead to notable shifts in the systems' dynamic behavior. The effectiveness and practicality of the proposed methodology in scrutinizing soliton solutions and phase visualizations across diverse nonlinear models are underscored by these revelations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Geometric Methods in Modern Physics
ISSN
0219-8878
e-ISSN
1793-6977
Volume of the periodical
22
Issue of the periodical within the volume
05
Country of publishing house
SG - SINGAPORE
Number of pages
22
Pages from-to
2450320
UT code for WoS article
001322531900003
EID of the result in the Scopus database
2-s2.0-85204721461